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Finding the Fourth Proportional to 85,717.71, 118,271.34 and 51,731.73

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Solution

The fourth proportional to 85,717.71, 118,271.34 and 51,731.73 is: 71,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,717.71 : 118,271.34 = 51,731.73 : x
  2. Step 2: Convert to fraction form
    85,717.71/118,271.34 = 51,731.73/x
  3. Step 3: Cross multiply
    85,717.71x = 118,271.34 × 51,731.73
  4. Step 4: Simplify right side
    85,717.71x = 6,118,381,027.62
  5. Step 5: Solve for x
    x = 6,118,381,027.62/85,717.71
  6. Step 6: Final answer
    x = 71,378.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.